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130122202320 = 243251116429571
BaseRepresentation
bin111100100101111100…
…0110011110011010000
3110102212102212202200200
41321023320303303100
54112442240433240
6135435522215200
712254356320225
oct1711370636320
9412772782620
10130122202320
1150203655590
12212757b4500
13c3692bccb6
1464257d994c
1535b8951930
hex1e4be33cd0

130122202320 has 120 divisors (see below), whose sum is σ = 476720461152. Its totient is φ = 31544774400.

The previous prime is 130122202303. The next prime is 130122202321. The reversal of 130122202320 is 23202221031.

130122202320 is a `hidden beast` number, since 1 + 301 + 22 + 20 + 2 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 130122202293 and 130122202302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130122202321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8206866 + ... + 8222705.

Almost surely, 2130122202320 is an apocalyptic number.

130122202320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130122202320 is an abundant number, since it is smaller than the sum of its proper divisors (346598258832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

130122202320 is a wasteful number, since it uses less digits than its factorization.

130122202320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16429601 (or 16429592 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 130122202320 its reverse (23202221031), we get a palindrome (153324423351).

The spelling of 130122202320 in words is "one hundred thirty billion, one hundred twenty-two million, two hundred two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 144 165 176 180 198 220 240 264 330 360 396 440 495 528 660 720 792 880 990 1320 1584 1980 2640 3960 7920 16429571 32859142 49288713 65718284 82147855 98577426 131436568 147866139 164295710 180725281 197154852 246443565 262873136 295732278 328591420 361450562 394309704 492887130 542175843 591464556 657182840 722901124 739330695 788619408 903626405 985774260 1084351686 1182929112 1314365680 1445802248 1478661390 1626527529 1807252810 1971548520 2168703372 2365858224 2710879215 2891604496 2957322780 3253055058 3614505620 3943097040 4337406744 5421758430 5914645560 6506110116 7229011240 8132637645 8674813488 10843516860 11829291120 13012220232 14458022480 16265275290 21687033720 26024440464 32530550580 43374067440 65061101160 130122202320